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Finding the Third Proportional to 41,488,820,517 and 89,270,184,597

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Solution

The third proportional to 41,488,820,517 and 89,270,184,597 is: 192,079,836,415.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,488,820,517 : 89,270,184,597 = 89,270,184,597 : x
  2. Step 2: Convert to fraction form
    41,488,820,517/89,270,184,597 = 89,270,184,597/x
  3. Step 3: Cross multiply
    41,488,820,517x = 89,270,184,597 × 89,270,184,597
  4. Step 4: Simplify right side
    41,488,820,517x = 7,969,165,857,982,456,528,896
  5. Step 5: Solve for x
    x = 7,969,165,857,982,456,528,896/41,488,820,517
  6. Step 6: Final answer
    x = 192,079,836,415.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.